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Finding the Fourth Proportional to 120,645.81, 180,970.11 and 36,406.70

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Solution

The fourth proportional to 120,645.81, 180,970.11 and 36,406.70 is: 54,610.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,645.81 : 180,970.11 = 36,406.70 : x
  2. Step 2: Convert to fraction form
    120,645.81/180,970.11 = 36,406.70/x
  3. Step 3: Cross multiply
    120,645.81x = 180,970.11 × 36,406.70
  4. Step 4: Simplify right side
    120,645.81x = 6,588,524,865.15
  5. Step 5: Solve for x
    x = 6,588,524,865.15/120,645.81
  6. Step 6: Final answer
    x = 54,610.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.